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SUMMARY:Preconditioners for models of coupled magma/mantle dynamics - Sand
 er  Rhebergen (University of Waterloo)
DTSTART:20160607T080000Z
DTEND:20160607T100000Z
UID:TALK66373@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Numerical techniques are essential in solving the equations go
 verning magma  dynamics. Discretizing these equations results in very larg
 e systems of  (non)linear algebraic equations. For many simulations in two
  spatial dimensions  one can easily use direct methods to solve these disc
 rete systems. For  simulations in three dimensions\, however\, iterative m
 ethods are vital since  direct methods quickly become very inefficient. <b
 r> <br>Efficiency of the numerical techniques used to solve the equations 
 of coupled  magma/mantle dynamics for a large part depends on the efficien
 cy of the  iterative method used to solve the system of algebraic equation
 s.  Preconditioners play a very important role in the efficiency of iterat
 ive  methods as I will discuss in more detail in this talk. <br> <span><br
 >This talk is will be divided into three parts. I will first give an  intr
 oduction to preconditioners and the challenge of iterative methods for mag
 ma  dynamics. Afterwards I will discuss the development and analysis of  p
 reconditioners designed especially for models of coupled magma/mantle dyna
 mics.  I will end this talk by discussing future directions of computation
 al magma  dynamics.</span>
LOCATION:Seminar Room 1\, Newton Institute
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